# Bhaskara-$$2008$$

Algebra Level 4

If $$x,y$$ are positive real numbers satisfying the system of equations $${ x }^{ 2 }+y\sqrt { xy } =336,{ y }^{ 2 }+x\sqrt { xy } =112$$, then $$x+y$$ equals:

This problem is taken from Bhaskara Contest-2008(P)

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